Find an equation of the tangent line to the curve 
at the point (4,1).
a. y = –1.11x + 17
b. y = –1.11x + 3.43
c. y = 1.11x + 5.43
d. y = –1.11x + 5.43
e. None of these
d. y = –1.11x + 5.43
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Solve the problem.The owners of a large factory complex plan to install a new network of water lines to supply water to five factory buildings. The building numbers of the buildings involved are: #12, #14, #15, #17, and #18. The distances in meters between these buildings are given in the following table.
a) Represent this information with a weighted, complete graph.b) Use Kruskal's algorithm to find a minimum-cost spanning tree that would link each building to give the least-expensive pipe network.c) If the water line cost is $700 per meter, determine the cost of the network in part (b).
What will be an ideal response?
Solve the equation.7 - 
= 5
A. -16
B. -33
C. 16
D. 
Find the vertices of the ellipse.4x2 + 5y2 + 16x - 30y + 41 = 0
A. (-2, 3 + 
) and (-2, 3 - 
)
B. (2, -3 + 
) and (2, -3 - 
)
C. (-2 + 
, 3) and (-2 - 
, 3)
D. (2 + 
, -3) and (2 - 
, -3)
Raise to the power or find the root. Assume that all variables represent positive numbers. Write with only positive exponents.
1/2
A. y5/2 B. 4y5 C. 4y5/2 D. 4y2/5